Question

how would you set up the distance formula to find the distance between points e and f

Explanation:

Step1: Determine the coordinates of points

Point \(E\) has coordinates \((-6,1)\) and point \(F\) has coordinates \((2,-5)\).

Step2: Apply the distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).
Let \((x_1,y_1)=(-6,1)\) and \((x_2,y_2)=(2,-5)\).
Substitute into the formula: \(d=\sqrt{(2-(-6))^2+(-5 - 1)^2}\)

Answer:

\(d=\sqrt{(2-(-6))^2+(-5 - 1)^2}\)